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Finding the Third Proportional to 838.16 and 1,888.00

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Solution

The third proportional to 838.16 and 1,888.00 is: 4,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.16 : 1,888.00 = 1,888.00 : x
  2. Step 2: Convert to fraction form
    838.16/1,888.00 = 1,888.00/x
  3. Step 3: Cross multiply
    838.16x = 1,888.00 × 1,888.00
  4. Step 4: Simplify right side
    838.16x = 3,564,529.25
  5. Step 5: Solve for x
    x = 3,564,529.25/838.16
  6. Step 6: Final answer
    x = 4,252.80

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.